8,487,825

3 × 5² × 113171

8,487,825 factors as 3 × 5^2 × 113171. Its 12 positive divisors give a proper-divisor sum of 5,545,503, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 113171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,033,328

Proper Divisor Sum 5,545,503

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8487823 ← → #8487827

Radix Representation

Decimal	8487825
Binary	100000011000001110010001 (24 bits)
Octal	0o40301621
Hexadecimal	0x818391

Divisor Catalog (12)

1 3 5 15 25 75 113,171 339,513 565,855 1,697,565 2,829,275 8,487,825

Collatz Trajectory (199 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,487,825 25,463,476 12,731,738 6,365,869 19,097,608 9,548,804 4,774,402 2,387,201 7,161,604 3,580,802 1,790,401 5,371,204 2,685,602 1,342,801 4,028,404 2,014,202 1,007,101 3,021,304 1,510,652 755,326 377,663 1,132,990 566,495 1,699,486 849,743 2,549,230 1,274,615 3,823,846 1,911,923 5,735,770 2,867,885 8,603,656 4,301,828 2,150,914 1,075,457 3,226,372 1,613,186 806,593 2,419,780 1,209,890 604,945 1,814,836 907,418 453,709 1,361,128 680,564 340,282 170,141 510,424 255,212 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008

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